The Weymouth Housing Authority could take over administrative oversight of its counterpart in Hull under a proposal being considered by the Weymouth public housing agency’s board of commissioners.

Under the proposal, the two housing authorities would remain separate entities with their own state subsidies, budgets and boards of commissioners, said Michael Flaherty, executive director of the Weymouth authority. But the Hull agency would sign a contract with Weymouth’s agency to have Flaherty be executive director for both authorities.

The deal still has to be approved by Weymouth’s commissioners and the state Department of Housing and Community Development, which has the final say. Exactly what the Hull authority would pay Weymouth’s authority is still being worked out.

Flaherty said the Hull Housing Authority solicited offers from other authorities to provide oversight and selected Weymouth.

“It’s a good idea, and both housing authorities are looking forward to it,” Flaherty said. “It works logistically.”

Matthew Sheaff, a spokesman for the state housing department, said the department is aware of the negotiations but hasn’t yet seen a proposed contract.

The Hull authority hasn’t had an executive director since the commissioners fired their last director in 2006 following a state audit and letter from the state housing department, both of which were critical of the authority’s management. Since then, it’s relied on a private consulting firm for oversight.